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didatur
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There are 7 letters in DIDATUR ( A1D2I1R1T1U1 )
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In category theory, a branch of mathematics, a dinatural transformation * * * * α * * * {\displaystyle \alpha } * between two functors * * * * S * , * T * : * * C * * * o * p * * * * × * C * → * X * , * * * {\displaystyle S,T:C^{\mathrm {op} }\times C\to X,} * written * * * * * α * : * S * * * * → * ¨ * * * * T * , * * * {\displaystyle \alpha :S{\ddot {\to }}T,} * is a function which to every object c of C associates an arrow * * * * * * α * * c * * * : * S * ( * c * , * c * ) * → * T * ( * c * , * c * ) * * * {\displaystyle \alpha _{c}:S(c,c)\to T(c,c)} * of Xand satisfies the following coherence property: for every morphism * * * * f * : * c * → * * c * ′ * * * * {\displaystyle f:c\to c'} * of C the diagram * * commutes. * The composition of two dinatural transformations need not be dinatural. |